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| Autoregressiivse tingimusliku heteroskedastilisuse (ARCH) mudel× | ARIMA (autoregressiivne integreeritud liikuv keskmine) mudel× | GARCH-mudel (volatiilsuse prognoosimine)× | |
|---|---|---|---|
| Valdkond | Ökonomeetria | Ökonomeetria | Ökonomeetria |
| Perekond | Regression model | Regression model | Regression model |
| Tekkeaasta≠ | 1982 | 2015 | 1986 |
| Looja≠ | Robert F. Engle | Box & Jenkins (Box-Jenkins methodology) | Tim Bollerslev |
| Tüüp≠ | Conditional volatility model | Univariate time-series model | Conditional volatility model |
| Algallikas≠ | Engle, R. F. (1982). Autoregressive conditional heteroscedasticity with estimates of the variance of United Kingdom inflation. Econometrica, 50(4), 987–1007. DOI ↗ | Box, G. E. P., Jenkins, G. M., Reinsel, G. C. & Ljung, G. M. (2015). Time Series Analysis: Forecasting and Control (5th ed.). Wiley. ISBN: 978-1118675021 | Bollerslev, T. (1986). Generalized Autoregressive Conditional Heteroskedasticity. Journal of Econometrics, 31(3), 307–327. DOI ↗ |
| Rööpnimetused≠ | ARCH, autoregressive conditional heteroskedasticity, Engle ARCH, conditional variance model | Box-Jenkins model, ARIMA(p,d,q), ARIMA Modeli | GARCH, GARCH(1,1), conditional volatility model, GARCH Modeli (Oynaklık Tahmini) |
| Seotud≠ | 6 | 5 | 5 |
| Kokkuvõte≠ | The ARCH model, introduced by Robert Engle in 1982, captures time-varying volatility in financial and macroeconomic time series. It models the conditional variance of today's error as a function of past squared errors, explaining why volatile periods cluster together — a phenomenon known as volatility clustering. | ARIMA is a univariate time-series forecasting model that combines autoregressive, integrated (differencing), and moving-average components to predict a single continuous series from its own past. It is the centrepiece of the Box-Jenkins methodology set out in Box, Jenkins, Reinsel & Ljung's Time Series Analysis (5th ed., 2015). | The Generalized Autoregressive Conditional Heteroskedasticity (GARCH) model, introduced by Tim Bollerslev in 1986, models the time-varying conditional variance of a financial time series. It captures volatility clustering and the ARCH effect, and is the standard tool for estimating risk and volatility in return series. |
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